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81045846 = 23772647
BaseRepresentation
bin1001101010010…
…10100101010110
312122111120000000
410311022211112
5131221431341
612013032130
72002610160
oct465124526
9178446000
1081045846
1141825a42
1223185646
1313a3842b
14aa99930
1571ad8b6
hex4d4a956

81045846 has 64 divisors (see below), whose sum is σ = 208450560. Its totient is φ = 23147208.

The previous prime is 81045793. The next prime is 81045857. The reversal of 81045846 is 64854018.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 81045846.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29295 + ... + 31941.

It is an arithmetic number, because the mean of its divisors is an integer number (3257040).

Almost surely, 281045846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81045846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104225280).

81045846 is an abundant number, since it is smaller than the sum of its proper divisors (127404714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81045846 is an equidigital number, since it uses as much as digits as its factorization.

81045846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 81045846 is about 9002.5466397015. The cubic root of 81045846 is about 432.7564870216.

It can be divided in two parts, 810 and 45846, that added together give a 6-th power (46656 = 66).

The spelling of 81045846 in words is "eighty-one million, forty-five thousand, eight hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 2187 2647 3402 4374 5103 5294 7941 10206 15309 15882 18529 23823 30618 37058 47646 55587 71469 111174 142938 166761 214407 333522 428814 500283 643221 1000566 1286442 1500849 1929663 3001698 3859326 4502547 5788989 9005094 11577978 13507641 27015282 40522923 81045846